SYLLABUS MECHANICS OF MATERIALS WITH EXERCISES FALL 2014

INSTRUCTOR Blaine Levedahl, G30 Associate Professor [ ] Office: Eng. Building No. 3, North Wing, Room 235 [ 3 2 235 ] Email: blaine@nuem.nagoya-u.ac.jp Phone: 052-789-2798 Class Webpage: www.suzlab.nuem.nagoya-u.ac.jp/~levedahl/classes.html Office Hours: Monday 13:30-14:30 & Thursday 10:30- 11:30 or by appointment.

COURSE DESCRIPTION In this course, students will study the fundamentals of stress, strain, and how materials deform. Students will also solve problems related to the course topics under the guidance of the faculty. By the end of the course, students will:

1. Understand the concepts of stress and strain. 2. Have the ability to analyze stress in rods and beams that undergo tension,

compression, bending, and torsion. 3. Have the ability to analyze combined stresses in rods and beams. 4. Have the ability to determine the strain energy in rods and beams.

PREREQUISITE SUBJECTS Calculus () & Physics ()

TEXTBOOK & RECOMMENDED READING Strength of Materials, S. Timoshenko, ISBN: 9780898746211 Textbook Mechanics of Materials, T. Philpot, ISBN: 9780470565148

ASSIGNMENTS & GRADING Students must obtain a letter grade of C or above to pass the course. Letter grades are assigned based on the percentages given in the left-hand table below. The semester percentile grades are based on the breakdown in the right-hand table below. Homework assignments will be graded based on a 10 point scale. The mid-term exam and final exam will be based on a 100 point scale.

Letter Grade Distribution Grade Percentage Breakdown S 100% - 90% Homework Assignments 40% A 89% - 80% Mid-term Exam 30% B 79% - 70% Final Exam 30% C 69% - 60% Total 100% F 59% - 0%

EXAM & HOMEWORK POLICY Students are permitted and encouraged to discuss solutions to homework problems to better each others understanding of the subject. However, each student must turn in his/her own homework. Homework is due at the beginning of class on the assigned due date. Late homework will not be accepted. Exams will be closed book and closed notes. The student is responsible for both the readings and the lecture materials.

mailto:blaine@nuem.nagoya-u.ac.jphttp://www.suzlab.nuem.nagoya-u.ac.jp/~levedahl/classes.html

EXERCISES CLASS In the exercises class, students will do the assignments related to the lecture topics. These problems are designed to motivate students to visualize stress and strain in structures and to highlight characteristics common in application of the theory that is introduced in the lecture.

SCHEDULE The term includes 13 lectures. The readings should be complete prior to the class.

Week Date

Lecture #: Topic Subtopics Readings Assignments

1 10-10

Lecture 1: Introduction & Background. What is Mechanics of Materials? Modeling structures. Equilibrium loads & reactions.

- HW #1 Assign

2 10-17

Lecture 2: Stress, Strain, & Materials Properties Stress, strain, and their relationship. Poissons ratio, creep and relaxation. Various materials same but different.

Timoshenko S: 1-3 & 14. -

3 10-24

Lecture 3: Shear Stress and Strain & Design Principles Shear stress, strain, and there relationship. Principles in structural design. Stress concentrations

Timoshenko S: 4, 16, & 17.

HW #1 Due HW #2 Assign

4 10-31

Lecture 4: Axially Loading Uniaxial stress & strain. Special cases of axial loading: ropes, cables, non-uniform bars,

thermal effects, and statically indeterminate structures.

Timoshenko S: 5-8, 9, & 10.

-

5 11-7

Lecture 5: Torsional Loading Uniform and non-uniform torsion. Stresses and strains in pure shear. Transmission of power by circular shafts (solid vs. hollow).

Timoshenko S: 61-64.

HW #2 Due HW #3 Assign

6 11-14

Lecture 6: Analysis of Stress and Strain Plane stress. Principle and maximum shear stresses. Review for mid-term exam.

Timoshenko S: 11-13, 15 & 18.

-

7 11-21 No Lecture or Exercise Class - HW #3 Due

8 11-28 Mid-Term Exam - -

9 12-5

Lecture 7: Transverse Loading Part 1 Description of transverse loading shear and bending moment. Shear and bending moment diagrams.

Timoshenko S: 19-30. HW#4 Assign

10 12-12

Lecture 8: Transverse Loading Part 2 Internal stress of beams with symmetric cross-sections.

Timoshenko S: 31-39. -

11 12-19

Lecture 9:Transverse Loading Part 3 Deflections of beams with symmetric cross-sections.

Timoshenko S: 46-49.

HW #4 Due HW #5 Assign

12 12-26

Lecture 10: Transverse Loading Part 4 Beams of non-symmetric cross-section. Beams of more than 1 material.

Timoshenko S: 53-65. -

13 1-2 Winter Break - No Lecture or Exercise Class - -

14 1-9

Lecture 11: Combined Loadings Axial and transverse loadings Torsional and transverse loadings

Timoshenko S: 40-44.

HW #5 Due HW #6 Assign

15 1-16

Lecture 12: Statically Indeterminate Structures Beams of more than 2 supports. Frames.

Timoshenko S: 40-44. -

16 1-23

Lecture 13: Strain Energy Due to shear, twist, bending, and impact. Castiglianos Theorem

Timoshenko S: 66-76. HW #6 Due

17 1-30 Final Exam - -

SyllabusMechanics of Materials with Exercises Fall 2014InstructorCourse DescriptionPrerequisite SubjectsTextbook & Recommended ReadingAssignments & GradingExam & Homework PolicyExercises ClassSchedule